Metaplectic Demazure operators and Whittaker functions
نویسندگان
چکیده
منابع مشابه
Whittaker Functions and Demazure Characters
In this paper, we consider how to express an Iwahori–Whittaker function through Demazure characters. Under some interesting combinatorial conditions, we obtain an explicit formula and thereby a generalization of the Casselman–Shalika formula. Under the same conditions, we compute the transition matrix between two natural bases for the space of Iwahori fixed vectors of an induced representation ...
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Let n be an integer and let F be a nonarchimedean local field whose characteristic is not a prime dividing n. Let μk be the group of k-th roots of unity in the algebraic closure of F ; we assume that μ2n ⊂ F . Let G be a split, simply-connected semisimple algebraic group over F . We assume that G is actually defined over the ring o of integers in F in such a way that K = G(o) is a special maxim...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2017
ISSN: 0022-2518
DOI: 10.1512/iumj.2017.66.6068